Question

Liliana takes 4 breaths per 10 seconds during yoga. At this rate, about how many breaths would Liliana take in 2 minutes of yoga?

Answer 1

Hint: We first find the number of breaths Liliana would take in 1 seconds of yoga. We use the unitary system to find the value. Then we multiply that number with 120 which is equal to 2 minutes to find the number of breaths Liliana would take in 2 minutes of yoga.

Complete step by step solution:
Liliana takes 4 breaths per 10 seconds during yoga. We use a unitary system to find the number of breaths she takes in 1 second.
The unitary method is a method in which we find the value of a unit and then the value of a required number of units. The unitary method is also used to find the value of a single unit from a given multiple.
In 1 second the number of breaths she takes is the division of 4 by 10 which is equal to $\dfrac{4}{10}=\dfrac{2}{5}$.
Now we have to find the number of breaths would Liliana take in 2 minutes of yoga.
We first convert the unit from minutes to seconds.
We have 2 minutes which is equal to $2\times 60=120$ seconds.
In 1 second the number of breaths she takes is $\dfrac{2}{5}$.
In 120 seconds, it will be $120\times \dfrac{2}{5}=48$.
Therefore, Liliana would take 48 breaths in 2 minutes of yoga.

Note: The fractional part of breaths is just for the calculational part. It is not possible for real-life examples but to get to the unitary value for 1 seconds we can use that fraction. The final form of the equation is $\dfrac{4}{10}\times 120=48$.